Characterization of quantale-valued metric spaces and quantale-valued partial metric spaces by convergence


  • Gunther Jäger University of Applied Sciences Stralsund
  • T. M. G. Ahsanullah King Saud University



L-metric space, L-partial metric space, L-convergence tower space, L-convergence tower group, metrization


We identify two categories of quantale-valued convergence tower spaces that are isomorphic to the categories of quantale-valued metric spaces and quantale-valued partial metric spaces, respectively. As an application we state a quantale-valued metrization theorem for quantale-valued convergence tower groups.


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Author Biographies

Gunther Jäger, University of Applied Sciences Stralsund

School of Mechanical Engineering

T. M. G. Ahsanullah, King Saud University

Department of Mathematics, College of Science


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How to Cite

G. Jäger and T. M. G. Ahsanullah, “Characterization of quantale-valued metric spaces and quantale-valued partial metric spaces by convergence”, Appl. Gen. Topol., vol. 19, no. 1, pp. 129–144, Apr. 2018.



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